Inverse problem for reconstruction of components from derivative envelope in ovarian MRS: citrate quartet as a cancer biomarker with considerably decreased levels in malignant vs benign samples

DOI10.1007/s10910-022-01422-yOpenAlexW4311910696MaRDI QIDQ2696359

Dževad Belkić, Karen Belkić

Publication date: 11 April 2023

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-022-01422-y

zbMATH Keywords

fast Fourier transformfast Padé transformNMR spectroscopyderivative estimationsovarian tumor

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Padé approximation (41A21) Molecular physics (81V55)

Related Items (2)

Derivative shape estimations with resolved overlapped peaks and reduced noise for time signals encoded by NMR spectroscopy with and without water suppression ⋮ Optimized derivative fast Fourier transform with high resolution and low noise from encoded time signals: ovarian NMR spectroscopy

Cites Work

• Improving the diagnostic yield of magnetic resonance spectroscopy for pediatric brain tumors through mathematical optimization
• Derivative NMR spectroscopy for J-coupled multiplet resonances using short time signals (0.5 KB) encoded at low magnetic field strengths (1.5T). I: Water suppressed
• Derivative NMR spectroscopy for J-coupled multiplet resonances using short time signals (0.5KB) encoded at low magnetic field strengths (1.5T). II: Water unsuppressed
• Validation of reconstructed component spectra from non-parametric derivative envelopes: comparison with component lineshapes from parametric derivative estimations with the solved quantification problem
• Exact quantification by the nonparametric fast Padé transform using only shape estimation of high-order derivatives of envelopes
• Explicit extraction of absorption peak positions, widths and heights using higher order derivatives of total shape spectra by nonparametric processing of time signals as complex damped multi-exponentials
• High-resolution at 3\,T for in vivo derivative NMR spectroscopy in medical diagnostics of ovarian tumor: exact quantification by shape estimations
• In vitro proton magnetic resonance spectroscopy at 14T for benign and malignant ovary. I: Signal processing by the nonparametric fast Padé transform
• In vitro proton magnetic resonance spectroscopy at 14\,T for benign and malignant ovary. II: Signal processing by the parametric fast Padé transform
• \textit{In vivo} derivative NMR spectroscopy for simultaneous improvements of resolution and signal-to-noise-ratio: case study, glioma
• The general concept of signal-noise separation (SNS): mathematical aspects and implementation in magnetic resonance spectroscopy
• Feasibility study for applying the lower-order derivative fast Padé transform to measured time signals
• Automatic self-correcting in signal processing for magnetic resonance spectroscopy: noise reduction, resolution improvement and splitting overlapped peaks
• Review of recent applications of the conventional and derivative fast Padé transform for magnetic resonance spectroscopy
• Unnamed Item

This page was built for publication: Inverse problem for reconstruction of components from derivative envelope in ovarian MRS: citrate quartet as a cancer biomarker with considerably decreased levels in malignant vs benign samples